I am going to assume you are using the same charger and cord you've used in the past? And, that you've tried a different charger and/or a different cord, along with trying different outlets?
Given those two assumptions, there's not much we can advise, given that you're describing what appears to be a hardware fault. You can try the two "stand bys" for when the iPad is acting weird, restart and reset (or both). To do:
Restart: Hold down the power button until the power off slider appears. Slide it off. When the iPad finishes shutting down, hold down the power button again until the Apple logo appears.
Reset: Hold both the power and home buttons until the screen goes dark and the Apple logo then appears (the slide to unlock screen may or may not appear). Once the logo appears, release the buttons. After a time, your homescreen will appear. Please note that it may take some time for the Apple logo to appear or for your homescreen to appear (or both). This is normal. Eventually, the homescreen will appear.
Oh, and have you tried to see if it charges with your computer? <--- Yeah, it'll say it's not charging, but there is a tiny trickle charge when the iPad is connected to a computer and, if you don't use it, it will charge, albeit v-e-r-y slowly.
Other than that, it sounds as if you need to take it to the Geniuses at the Apple Store and have them physically look at it. Sorry.
Marilyn